SEIR epidemic model for COVID-19 transmission by Caputo derivative of fractional order

We provide a SEIR epidemic model for the spread of COVID-19 using the Caputo fractional derivative. The feasibility region of the system and equilibrium points are calculated and the stability of the equilibrium points is investigated. We prove the existence of a unique solution for the model by usi...

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Autores principales: Rezapour, Shahram, Mohammadi, Hakimeh, Samei, Mohammad Esmael
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2020
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7487450/
https://www.ncbi.nlm.nih.gov/pubmed/32952538
http://dx.doi.org/10.1186/s13662-020-02952-y
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author Rezapour, Shahram
Mohammadi, Hakimeh
Samei, Mohammad Esmael
author_facet Rezapour, Shahram
Mohammadi, Hakimeh
Samei, Mohammad Esmael
author_sort Rezapour, Shahram
collection PubMed
description We provide a SEIR epidemic model for the spread of COVID-19 using the Caputo fractional derivative. The feasibility region of the system and equilibrium points are calculated and the stability of the equilibrium points is investigated. We prove the existence of a unique solution for the model by using fixed point theory. Using the fractional Euler method, we get an approximate solution to the model. To predict the transmission of COVID-19 in Iran and in the world, we provide a numerical simulation based on real data.
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spelling pubmed-74874502020-09-14 SEIR epidemic model for COVID-19 transmission by Caputo derivative of fractional order Rezapour, Shahram Mohammadi, Hakimeh Samei, Mohammad Esmael Adv Differ Equ Research We provide a SEIR epidemic model for the spread of COVID-19 using the Caputo fractional derivative. The feasibility region of the system and equilibrium points are calculated and the stability of the equilibrium points is investigated. We prove the existence of a unique solution for the model by using fixed point theory. Using the fractional Euler method, we get an approximate solution to the model. To predict the transmission of COVID-19 in Iran and in the world, we provide a numerical simulation based on real data. Springer International Publishing 2020-09-14 2020 /pmc/articles/PMC7487450/ /pubmed/32952538 http://dx.doi.org/10.1186/s13662-020-02952-y Text en © The Author(s) 2020 Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/.
spellingShingle Research
Rezapour, Shahram
Mohammadi, Hakimeh
Samei, Mohammad Esmael
SEIR epidemic model for COVID-19 transmission by Caputo derivative of fractional order
title SEIR epidemic model for COVID-19 transmission by Caputo derivative of fractional order
title_full SEIR epidemic model for COVID-19 transmission by Caputo derivative of fractional order
title_fullStr SEIR epidemic model for COVID-19 transmission by Caputo derivative of fractional order
title_full_unstemmed SEIR epidemic model for COVID-19 transmission by Caputo derivative of fractional order
title_short SEIR epidemic model for COVID-19 transmission by Caputo derivative of fractional order
title_sort seir epidemic model for covid-19 transmission by caputo derivative of fractional order
topic Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7487450/
https://www.ncbi.nlm.nih.gov/pubmed/32952538
http://dx.doi.org/10.1186/s13662-020-02952-y
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